<title>Generalized Euler series transformation applied to halfwidth and shift of molecular spectral lines calculation</title>

Abstract

Perturbation theory and representation of interruption function as the power series of interaction strength are widely used in the frame of the impact approximation. When the impact parameters are small, the intermolecular interaction becomes strong and the divergence of perturbation series should be expected [1]. This problem has become the main goal of many previous studies (see, for instance, [2, 3] and references therein) and several approaches were developed to overcome the perturbation series divergence. In this paper the generalized Euler transformation was used to solve the problem. The generalized Euler transformation was based on the full resonance approximation as a starting point. This approach allows one to obtain the convergent expression for the interruption function at short distances between colliding molecules, which is similar to the well known expressions of the Anderson theory.

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